Are these issues normal for someone who is new to wearing glasses?

Just been prescribed glasses for distance and a pair for reading. At the moment I am finding my distance glasses a big help for far away but it feels unfocused and strange close up. Also I can see the frames all the time, is this normal? Also worried constant wear will cause my eyes to deteriorate more as when I take them off my vision is blurry, never realised there was anything wrong with my eyes until I got the glasses had been reading a book when I woke with my sight in one eye different suddenly. Still not sure if eye strain is the cause of this or if it is likely to improve but this is what prompted me to visit an optician. Any advice would be appreciated