I'm looking for a bike rack to put on my bike so that I can hookup the baby seat with the bike. However, I don't see anywhere on my bike where I can mount the front bracket arms of the rack to it (please see pic.1). There is place to mount the lower arms, though (as shown in pic.2). Pic.3 shows the whole bike.
Do you know which bike rack can go with this bike?
Your bike looks like it comes equipped with a full-suspension frame, and the suspension mechanism is located where one would usually attach the rack stays. This will make attaching a rear rack extremely difficult, and almost certainly less secure.
I don't recommend attaching a rear rack to this bike, particularly not one that will be holding a child seat.
Instead, you could look into a child trailer. (For more information on child seats compared to child trailers, have a look at this answer.) Please note that pulling a trailer with any full-suspension bike can cause problems (see the comments).
You could use a rack that attaches at the brake bolt. Of course, the rack would get some extra jouncing from the suspension. That appears to be a fairly small wheel, though, so you'd need a rack designed for small wheels (so the front rack strap to the brake bolt wouldn't be excessively long).
Best bet is to find a shop that carries a variety of racks and try them on.
(Of course, anything you find is apt to be less than ideal to support a child seat.)
My personal preference for child seats is a Wee Ride or Yepp or other brand of seat that holds the child between your arms while riding.
Upsides - child is between your arms and you can see them easily. They get a decent view of the road, not the rider's backside. The fitment bar is secure between seatpost and headset, but the seat itself can be removed or moved to another bike. Plus they work on full-suspension bikes as well as rigids and hard tails. The weight distribution is good unlike a rear child seat which makes the back of the bike super-top-heavy. Kid's foot boxes make semi-good front fenders in the wet.
Downsides - they're not cheap. Riding with the seat in place may interfere with your knee movements leading to some knee strike or knees splayed outward. Center-handlebar mounted things are harder to get to (your garmin perhaps?) Your waterbottle is fine but is harder to get to so stop to drink. You can only use them for a few years till the kid is too big.
And the biggest downside? The stoker's not pulling their weight!
You might have some luck with a seatpost mounted rack. You may need to raise the seat up a bit on your bike to get it to fit since it seems that there isn't much clearance there. However, these seatpost racks are not strong enough to support a child seat, and with a single point of failure I wouldn't even attempt it. But as a rack for your bike for carrying other things, this would work.
As others have said, the fact that you have rear suspension makes it difficult to attach a rack since usually racks require 2 attachment points, which is hard (impossible??) when the back of the frame needs to move due to suspension. As far as baby seats go, you might want to opt for the Kangaroo child seat which has the seat located between you and the handlebars. Again for this, it looks as though you would have to move your seat up a bit.
