Is there a best way to recycle these? We end up with a lot of it when we buy stuff online, but we don't mail anything where we can really use it again. My parents said I can't put in recycle bin because it mess up the trash truck. So usually I wrap it up and put in with the plastic shopping bags to recycle at store, don't know what else to do with it. Or recycle the peanuts either.

Any ideas?

The only reasonable way I see to use it over and over for the same purpose. So giving it to someone who may actually use it again (e.g. a shop sending goods by mail or so) is the best way. Of course, it has to be kept clean and not contaminated, so it remains usable.
And it should be in some reasonable quantity package (bag,...), to be manageable on their side - so collect it into some 10 or 20l bag at home and when the bag gets full, give it to that store...

Otherwise it should be recycled as plastic - the collection trucks for plastic should be designed to handle these well. But I don't know how the system works at your place (here the plastic is collected in separate bins, separate bin for paper, separate for glass, some time ago even the clear glass was separated from the tinted one and separate for metals and so on, so each material uses separate attachements on the collection trucks or even dedicated collection trucks; I know on many places all "recyclable" is just put together into one bin and it gets separated in the collection center, there some problems may arise)...

With the bubble wrap we donate it to one of the local charity shops to use when wrapping items up. 

The only reasonable way I see to use it over and over for the same purpose. So giving it to someone who may actually use it again (e.g. a shop sending goods by mail or so) is the best way. Of course, it has to be kept clean and not contaminated, so it remains usable.
And it should be in some reasonable quantity package (bag,...), to be manageable on their side - so collect it into some 10 or 20l bag at home and when the bag gets full, give it to that store...

Otherwise it should be recycled as plastic - the collection trucks for plastic should be designed to handle these well. But I don't know how the system works at your place (here the plastic is collected in separate bins, separate bin for paper, separate for glass, some time ago even the clear glass was separated from the tinted one and separate for metals and so on, so each material uses separate attachements on the collection trucks or even dedicated collection trucks; I know on many places all "recyclable" is just put together into one bin and it gets separated in the collection center, there some problems may arise)...

Here all the recycling goes in one cart. One cart for trash which is picked up. Then they come back later for the recyclables carts. Now, when there used to be recycling trailers, it was all split by trailer - one paper, one plastic, one aluminum, etc.

But we can't put plastic bags or wrapping in the cart, so that has to go to the store collection for recycling.

With the bubble wrap we donate it to one of the local charity shops to use when wrapping items up. 

That a good idea.

Call a local recycle company and get the straight scoop.

Why would I do that when the local charity shop 5 minutes walk away will take all we can give them..?

It will depend on what your local recycling facility can handle. In my area, our recycling company accepts bubble wrap but not packing peanuts.

It will depend on what your local recycling facility can handle. In my area, our recycling company accepts bubble wrap but not packing peanuts.

The two charity shops that we went into today were delighted to get the bubble wrap, in fact one of them can't wait for us to give them more.  

Now that's what I call recycling, they can make use of what we give them and they don't have to buy it in. 

It makes sense to us to donate the bubble wrap or whatever to someone who can make use of it, rather than them having to buy it new. Charities are on a tight budget and need all the help they can get. Why spend money on fuel taking it somewhere 40 miles away..? Unless you live in the middle of nowhere, there is bound to be someone near you who can use it.

Most areas use rear load compactor trucks to collect recycle waste and non recycle waste-those will handle bubble wrap and peanuts just fine.Same with side load compactor trucks.A few RL compaction trucks are actually powerful enough to crush a complete car!!!!New Way Cobra Magnum and Leech 2R.Also E-Z Pack Goliath.Trash trucks are another interest I have.Bodies anyway since they are installed on truck that carries and powers them.