Hey whats up guys, this isnt about my SVT so if you dont wanna help or this isnt allowed, i compelety understand

...I just bought a 1990 civic DX to use as my winter car so my SVT can sleep this winter

....The problem im having is that when i let the honda sit for awhile and its cold it will not start....The first time this happened was yesterday and i thought it was the starter...So i took the starter off, took the plug wires out, took the plugs out, took the battery out, and then cleaned everything and put everything back together and then it staretd....The battery is good and the alternator is good....i just went out now to start it and its doin the same thing again....When i turn the key theres a "click" and it isnt turning over....ive also tried jumping it and it will still "click"...what on earth could it be

??? Thanks in advance!!!