Looks like Bermuda. Info on control:

http://lawniac.com/eliminating-bermuda-from-your-lawn

So can you spread this if you have mowed a lawn that has it and then you mow your own yard? Same with crabgrass?

J4c11 could you look at my other post? If this is Bermuda I may have it in my yard as well.

Thanks again

Where do you live (city/state)?

Yes it looks like bermuda, in both posts. Since the house is new to you it is unknown if the previous owner actually wanted a bermuda lawn. What you may be considering an "infestation" may have actually been the desirable grass. Mowing height and general lawn care for cool season grass will make bermuda look like crap. Bermuda also goes dormant (turns brown) in colder weather. So depending on your management practices you got a weedy looking lawn. Depending on where you live you can decide which type of lawn you want and proceed from there. Just know that bermuda is not an easy thing to get eliminate, especially this time of year when it may be going dormant.

So can you spread this if you have mowed a lawn that has it and then you mow your own yard? Same with crabgrass?

Is it possible a Bermuda sprig or a crabgrass seedhead could get stuck in the mower deck and then dropped into someone else's yard? I suppose it is. But these are common invaders every summer in every yard across the United States. Crabgrass and Bermuda seed can be spread by the wind far and wide, so I think the mower thing is probably the least of your concerns.

J4c11 could you look at my other post? If this is Bermuda I may have it in my yard as well.

I don't even need to look, it's guaranteed to be there if it's growing nearby.

Look at the link I posted in the other thread on pre-emergents and get on a premergent program as described. That will take care of 99.9% of the crabgrass and 99.9% of the new Bermuda seed.

The Bermuda that's already in place, good luck. Check the link I posted above for selective control in your lawn. It will take a few years to get rid of it. In your landscaping, spray it with glyphosate during the growing season until it stops coming back. It may take 3-4 applications.