I agree with Vanguard1965 dumbbells are great choice but you will need a spotter later as the weight goes up.
If later when poundage goes up you could always do one-arm dumbbell press and use your free arm to get the weight at shoulder level and help to steady yourself. Using a one limb can be just as effective as using two and you will find you can push yourself harder when doing a single-arm.
Also consider isolation work like cable side lateral raise and cable front raise. Due to popular belief shoulders can be built with-out doing any overhead press. Any overhead press you will be using alot of tricep work a MRI studies have shown that using cables for the lateral head like cable lateral raise and cables for the front head cable front cable raise recruit more muscle fibre than the BARBELL/DUMBBELL press just a thought

B.T.W. I'm not debunking the
BARBELL/DUMBBELL OVERHEAD PRESS just saying you could mix things up every now and then
