MUS works well for some dc, and I have much respect for its author.

I do say in some situations, use what you think fits your family best. But, in this case, I have a definite opinion

, for one reason especially - your dd is starting kindergarten.

It is simply the best time to begin Singapore, and Singapore has incredible results. We have one mathy ds, one not so mathy. What they have in common is they both started math with Singapore from the beginning... WITH HOD's hands-on math activities. I do think that was key. HOD's math activities take Singapore's young math programs from good to great. They make it fun, and they help with the mental math focus down the road. They also gave each of our dc the impression and the confidence that they were super at math right from the start (and as I said, one was, one not so much

). Our kids score off the charts in math on the standardized testing. It just works.
I have some reasons that I love Singapore Math that have nothing to do really with the academic portion of math that I'll also share in case you may be interested.

It's short. Time is of the premium for me, as I'm sure it is for most homeschool moms, and Singapore Math does not take much of my time. I do not look ahead... ever. I don't have to buy special supplies... ever. I don't have to worry about a lesson all of the sudden taking an hour instead of 30 minutes... ever. It is streamlined. I like that, and so do my kids.
It doesn't exhaust a concept. Our dc are never doing 60 repetitive problems, which studies have shown, BTW, is counter-productive. Even gifted dc begin making careless errors with oodles of repetitive problems. If dc can show they have a concept down in 15-20 problems, why do 50-60?
It's inexpensive. Love that! In fact, I let my kids write in the Textbooks. Why not? They're cheap. It's quicker, and they are doing great. I can easily use a markerboard for lessons, and so can my dc. We all love that - it's just neat to use something other than paper and pencil sometimes.
No DVD, video, or computer to use. I'm no techie, and let me tell you, I like to avoid anything like this when it comes to teaching. Give me a book, please, and an answer key, pretty please... and I'm good. No fiddling with this or that media thing that can go from helpful to haywire pretty fast for me.
Did I mention teaching time?

Yes, I know I did, but I'm back to that. I have 3 different ages of dc, and they do 3 different levels of math. I have moms I know who have 3 different levels of math programs they are teaching - that are NOT Singapore - and they are teaching math 3-4 hours a day. YIKES!!! What else is there time for? Too much math for me. I like to teach other things too!
If you need extra help teaching, which I don't think you will for sure from K through 3B or 4B, there are Home Instructor Guide's. You can at any time get those if you need more help teaching - they come with step-by-step fully worked solutions.
You can use any math with HOD. But with a Kindergarten child, I'd for sure give Singapore a whirl. Both for my dc's own good, and for my own good as their teacher. HTH!
In Christ,
Julie