Another stray

Last December I adopted a neighborhood stray. After a bit of a rough start, she is turning out to be a wonderful addition to our family. She is the first cat I've ever owned and, while I know a little more about cats now, I am still not sure how to interact with strays. There is a cat that has been coming to my house for a couple of months now. I have seen it during the day and at night. It has no collar. I am fairly certain it's homeless. It's pouring outside right now and I'm hoping it has found some kind of shelter. 

Since it's warm and there are plenty of critters running around, I'm not sure how I can feed it. 

Once I do start to feed it, then what? At this point, I don't know whether it's male or female, or how friendly/unfriendly it is.

What steps do I take to get to the point of being able to get it to a shelter and by what means? I don't have an extra crate and I don't think the shelter offers any. Getting it to the point of going into a crate might be difficult as well.

As usual, any advice is appreciated. Hopefully, in the future i'll be able to give some advice as well.

The cat you are trying to help is another cat, right?  From your post, it sounds like you already have one inside and a new one has shown up.

In any case - about feeding.  Do you have a safe place (a porch or deck, maybe) to place a food dish?  Start with a small bowl of wet food.  Try to place it where you can observe what comes to eat.  You don't want to attract raccoons or possums!  If the cat in question eats the food, you can begin placing a small bowl there morning and evening at the same time.

Get the cat used to the routine.  In the meantime, you can try to locate a rescue or shelter that might be able to lend you a humane trap (or you can buy one if you have the funds).  You can then begin to feed the cat inside the trap with the trap tied open.  Once its used to that routine, you can trap it and have it spayed or neutered.  Don't panic - that's down the road a bit.

During all this, you may be able to learn whether the cat is friendly to any degree.  If so, you may be able to speed the process a little (especially if you can get the cat into a carrier and to the vet on your own.

Spaying and neutering is a priority in these cases.  That is your goal.  Please don't continue to feed the cat unless this is part of your plan.  If you don't, you will either end up with kittens (if its female) or cat spray (if its male and decides to mark your house as its territory.) 

Yes. Sorry for the confusion. This is a different cat. It's orange with darker orange bands on the tail. The strange thing about this cat and the one I adooted is that they seem to follow the same pattern, as far as coming to my house, then going to the same house across the street. I don't have a porch but I have a plant bed close to the house. I guess I can try placing a box there. Thanks for the info.

Do you know if it may be owned by the people in the other house? Could be you can work with them to ensure it's well-being