1999 corolla Ignition or solinoid

Hi all,
Just bought a used 99 with 100K on it,figures from a dealer,He is too far away to take this back, and be without the car, for who knows how long,
anyway, turning the key I get just a click or nothing, then it will start after a few tries. worried about getting stuck someplace, but when it does turn over the battery sounds strong. starts right up, possibly a loose connection to the starter or just the starter missing a gear tooth,
I bought this for my Mom was hoping I would not have to wokr on it much,
but gezzzz the 2nd day.. car is pretty solid, also what else should I check over, this was all I could afford, and I figure this will last a few years
she only drives maybe 3k a year if that.. thanks for any help on where to start.. I think it needs a new starter, how hard is it to get too..
Kappy oh one other thing the battery is made by toyoto is this pretty old then, the wife has a 01 camary just replaced the battery, and that was a panasonic I think it was the original she only has 48k on her car..

should have gave that to my mom, and the wife could have got a new one.. yeah right LOL thanks all.

Sounds like a starter.

Check all the connections first, at the battery and starter. But if you must replace it, At Autozone the stater is about $105.
Duralast Import / Starter (http://www.autozone.com/autozone/catalog/parts/partsProduct.jsp?itemIdentifier=411071_23521_0_&skuDescription=Duralast+Import+/+Starter&brandName=Duralast+Import&displayName=Starter&categoryNValue=15399999&sortType=&store=3084&isSearchByPartNumber=&fromWhere=&fromString=&counter=0&itemId=45-0&navValue=15300045&filterByKeyWord=&productId=411071&searchText=&categoryDisplayName=&parentId=53-0)
Part Number:
17323

http://contentinfo.autozone.com/znetcs/product-info/en/US/wwd/17323/image/2/ (http://www.autozone.com/autozone/catalog/parts/partsProduct.jsp?itemIdentifier=411071_23521_0_&skuDescription=Duralast+Import+/+Starter&brandName=Duralast+Import&displayName=Starter&categoryNValue=15399999&sortType=&store=3084&isSearchByPartNumber=&fromWhere=&fromString=&counter=0&itemId=45-0&navValue=15300045&filterByKeyWord=&productId=411071&searchText=&categoryDisplayName=&parentId=53-0)
Price:



$104.99

$38.00 Core

Total:
$142.99


Did one last year. Couple of hours; I move slow. Not too difficult, couple of bolts.

that's the plan drager thanks