Xapo is one of the secrets Wallet
https://xapo.com
and the Android Wallet link
https://play.google.com/store/apps/details?id=com.xapo&hl=de&referrer=utm_source%3Dgoogle%26utm_medium%3Dorganic%26utm_term%3Dxapo+android+wallet&pcampaignid=APPU_SwvNU-TKPLDT4QTKlIGgDg
Or use the Standart Android Wallet, but you need to secure it self
https://play.google.com/store/apps/details?id=de.schildbach.wallet&hl=de&referrer=utm_source%3Dgoogle%26utm_medium%3Dorganic%26utm_term%3Dbitcoin+wallet&pcampaignid=APPU_owvNU96BJMqB4gT1-4DgAw
I personally recommend the standard wallet (https://play.google.com/store/apps/details?id=de.schildbach.wallet), as I've used it for a while and managed to screw it up once while fiddling with settings and was able to easily recover the private keys from the backup. It's well-encrypted, and aside from the PRNG issue that affected every Android wallet it's had no issues. However, I still wouldn't keep too much money on a phone wallet (only about $10-$40 or so, depending on Bitcoin's price, even though I have backups of the keys elsewhere), but that's up to you.
You can also encrypt you Phone with AES256bit. Secure enough?