I have 1998 toyoto corolla what kind tire should i use and what size

This depends a lot upon what size rims you have, and what your driving conditions will be. Generally, the type of tire that is already in use on the car should be fine (the tire type and size are printed on the side of the tire ... usually something like "P175 65R14" or something like that -- it's in big lettering on the sidewall). The "P" in my example is for "Passenger" cars ... the first number (175 in the example) is the width of the tire tread in Millimeters ... the second number (65 in the example) measures the depth of the tire -- the distance from the rim to the tread ... "R14" gives you the radius of your rim.
The width of the tire affects the handling of your car (wider tires give you better handling) but can also contribute to road noise -- the wider the tire the noisier it is. If you've heard the noise from a Jeep with mudders (extra wide tires for driving in muddy conditions), then you understand the noise. With a Corolla you will probably not be facing too many off-road situations, so between 145 and 185 should be fine for a first number.
With a corolla, I would always recommend a passenger tire ... other ratings are for trucks and load-bearing vehicles.
The depth of the tire can also affect handling and road noise. The second number (65 from the example) gives you the depth. If you are looking for low-profile tires, this would be a smaller number. Although this does affect the handling and noise, it is mostly about the look of the tire. If you desire to have a family-car look, go far something in the range of 65 ... A little more or less will not have much effect that you will notice, but a larger number will make the car jolt less whan you hit a pothole or a bump in the road.
"R14" from the example is the most important number, and the only one that cannot change without changing the rims. This is the radius of the rim, and MUST match or the tire will not fit, or will pop off the rim while driving. Read the sidewall of the tires you have now, and use the same R number. Generally, anyone mounting tires will make sure that you have the right size before they will put the rubber on the rim for you -- it is as dangerous to mount a wrong-size tire as it is to drive on one.
If you have more questions about your tires, I would recommend visiting a tire retailer and speaking with someone directly -- they are generally well trained about tire specifications, and can give you more detail about the effect that each aspect of a tire will have on your driving experience. Having driven a few Corollas, I always used P175/65R14 on mine (I think it is pretty standard) but please be sure to check your tire to make sure you have the same size rims.

There should be a sticker on your drivers door, inside jam or in the glove box with the factory tire size..Hope this helps??

The tire specifications for your car are: Front Tire Size: P175/65R14. Rear Tire Size: P175/65R14 Spare Tire Size: T115/70D14. If you go to your local Les Schwab, they will help you get the tires you need and give you a lifetime replacement warranty, for small punctures anyways. But if you are doing this yourself, here you go =)