Seemingly wise to put £1 into a new show (6)

I believe the answer is:
owlish
'seemingly wise' is the definition.
'owlish' can be an answer for 'wise' (similar in meaning). I'm not sure about the 'seemingly' bit.
'ps1 into a new show' is the wordplay.
'psl' becomes 'li' (I can't explain this - if you can you should believe this answer much more).
'into' means one lot of letters goes inside another.
'a new' indicates an anagram.
'show' anagrammed gives 'owsh'.
'li' put within 'owsh' is 'OWLISH'.
'to put' acts as a link.
Can you help me to learn more?
(Other definitions for owlish that I've seen before include "Solemn, wise; like a bird" , "Having appearance like wise old bird" , "solemn and wise in appearance?" .)
