I presume you've ordered the pre -mitered sections of countertop.......they use special draw bolts routed under the countertop to glue the sections together.......

....here's a link to a VERY helpful jig you can make to accurately cut the ends of the counter:

http://www.woodworkingtips.com/etips/etip022500wb.html

Re your sinkcutout plan......You can purchase special Jigsaw blades that cut on the downstroke ......or just tape the laminate and mark the cut lines on the tape and cut away with a regular blade......expecting the sink edge to cover any irregular edges........

Contact cement is used to glue the end panels.......apply Two coats to the porous substrate and a single coat to the laminate......allow to dry completely before applying the laminate.......Use a router w/flush cuting bit to trim the panel to the exact profile.......

Add the end panels and glue the two mitered sections together before placing and fastening the counter into final position

Abnorm, maybe you can help me too.

We want to replace the kitchen counter top and on one side of the kitchen (very tiny), the counters are deeper than normal.

The handyman who is to do the work, told me to pick from the pre made counter tops at HD, but they aren't deep enough.

Is there a way to do this without spending much?

SharB.....Is there an existing laminate countertop there now ?.....how deep?.......square edge....square edge backsplash?

Here's the NationalRetailHardwareAssoc link to a How-to-laminate page.........pretty good BASIC info........(except I always add the edging first before adding the top)

Tell us more about your install and I'll help......and Yes it's doable/reasonable if you have some skills/tools(router) and/or Handyman/Help.......

Abnorm, I would not do the work, would have a handyman do it. Yes, there is laminate there now. It is deeper than the norm on the one side. Deeper by about 2 or 3 inches. The other side is the normal side of kitche. Yes there is a backsplash. It has a square edge.

The laminate now is very white with cream color (ugly) cabinets. I want to make this look as good as possible and spend as little as possible. My thought is to paint the cabinets very white, with dark knobs and a dark laminate counter. Just seems like the least expensive way to go.

After looking at the pre made counter tops at HD, I realized they were not deep enough..

abnorm:
"Here's the NationalRetailHardwareAssoc link to a How-to-laminate page.........pretty good BASIC info........(except I always add the edging first before adding the top)"

Where's the link?

Also, I'm planning to use a Roto-zip with a laminate trimmer bit. How is the bit used without abrading the adjacent flat laminate surface?

abnorm, Thanks for the tip about the jig. I followed your advice and made the jig. It really made cutting the pre-made counter top to size much easier.
Tracktor

Oh my....."old-timers" catching up with me............

http://www.millardlumber.com/HowTo/lcounter/laminate.htm

Thanks Tracktor.....glad you had luck......I think the Roto uses a SMOOTH bearing-surface rather than a Ball-bearing to guide the bit....The cutting edge is "one-hair" smaller than the bearing surface.......Make sure there is no glue to foul the router bit........solvent clean any debris from the bit and surfaces.......keep it moving with minimal pressure against the adjacent/guide surfaces to prevent burning.....

SharB........I know your Handyman asked to buy a premade counter.....who knows if you can teach him to "fabricate" a counter........sheet laminate is available from many sources in my locale....To cover the wide counter you'll probably need to purchase a 4x8 sheet.......applying OVER the existing square edged counter is relatively easy......Try the link and return with Questions......

Abnorm, I'm sure that the materials listed in the website are readily available in my area. Thanks for the site, it looks like something he could do.

I will give him a call tomorrow.
SharB

SharB, you can use the standard depth top if you're willing to add a small shelf on the top of the backsplash to cover the gap to the wall. If you have an exposed end you'll have to figure out the best way to deal with it, like wrap the shelf down or fill the end gap with a piece of wood cut to fit, then paint or laminate.