That would be very hard to answer your question since you did not mention which crypto yoi are going to receive and send to another wallet. For electrum, you can install it on your phone which you can change in the settings to use only one address to receive funds, I have also use imtoken for erc20 and eth and many more.
Well, perhaps that is bitcoin.
I am using coinomi app wallet for how many years and there is no problem I got even though others have difficulties using it and many of them have technical errors on this wallet app. You can still sign the message on Coinomi with your old address upon the creation of the wallet. However, as as suggested above, I agree with the electrum wallet app. That is a very recommended wallet and the safest free wallet. Most people here don't use coinomi but if you will like multi-wallet that can store altcoin perhaps you can use this.