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Lelo Loki is a good vibrator for solo play. It's waterproof so you can play in the shower. It's body safe silicone, unlike most toys. For the price, I wouldn't invest in anything smaller. If you really wanted to, they have the billy 2 but I'd only recommend it to people with tightness issues.
It must be said that vibrators can make you lazy in learning how to work your prostate but I think for noobs it's better to experience anal pleasure quickly than give up frustrated trying to figure it out.