The basic starting hands for Omaha Hi are listed below. Please note that the abbreviation DS refers to a hand that is double-suited.
All hands in the list are better if they are suited or double-suited. Where you see "x," read: any card.
A-A-K-K DS
A-A-J-T DS
A-A-Q-Q DS
A-A-J-J DS
A-A-T-T DS
A-A-9-9 DS
A-A-x-x
J-T-9-8 DS
K-K-Q-Q
K-K-J-J
K-Q-J-T
K-K-T-T
K-K-A-Q
K-K-A-J
K-K-Q-J
K-K-Q-T
K-K-J-T
Q-Q-J-J
Q-Q-T-T
Q-Q-A-K
Q-Q-A-J
Q-Q-A-T
Q-Q-K-J
Q-Q-K-T
Q-Q-J-T
Q-Q-J-9
All of the above-mentioned hands are very strong starting hands in Omaha.
Other good hands are double-suited hands with four cards in a row, six and higher - for example, K-Q-J-T DS and 9-8-7-6 DS.
I hope this helps.