No matter what is it,you can change your transaction fee.
but if you do that and make it under average fee,more likely your wallet will be credited in a month or around that time.
go here check it how long it will takes if based on your fee :
https://bitcoinfees.21.co/average fee is around 226 byte or around 64.000 satoshi,
if you lower your fee,you will get it more than 2 days if i am not wrong.
i suggest you to pick a green one,because it's the faster between all of them.
so,fee for more than 100.000+ will be prioritized other than else below,
and the best wallet so far from many review are Trezor,and electrum.
other than that i don't know