There are fees applied to every wallet, that's how the confirmation process on transactions work.
You can try either blockchain.info, electrum or bitcoin core.
Blockchain.info is an online wallet, which has had quite a few issues in the past (technically)
Bitcoin Core is the wallet software that is the main function of bitcoin and is the official client of it but it takes a fairly long time to fully syncronise and also takes up ~130GB in blockchain data (which needs downloading) - you can use -prune to get it down to 2GB though.
Electrum.org is probably the best wallet for a software option, you can use that and it only takes a few MB to store everything in it. You also get a short seed that you can recover your entire wallet from with this choice (the others require either email/phone verification (blockchain.info) or backups to be taken (bitcoin).