Hi there

I'm hoping to get some thoughts and assistance on a replacement laptop.

I currently have a 5 year old Dell Vostro 3300 (13") which is slowly dying and will soon give up the ghost. I have really liked the 13" form factor, but would like to get something a bit more compatible with watching videos on the couch or in bed (touch screen, ability to use more like a tablet).

What it will be used for
MS Office suite
Web browsing
Light Photoshop and image editing work
Encoding home videos (Handbrake)
Watching videos (from network storage or online)
Zero gaming
I don't have an external monitor
Often used on the lap

Must have
Convertible 2 in 1 with touchscreen (I'm not interested in tablets with detachable keyboards, eg MS Surface)
12-14" screen
Not a high DPI screen
Windows 10
128gb SSD
4GB RAM
AC Wifi
A faster processor than my current Core i3 M 370

Want/nice to have
Intel Core processor (i3 or i5)
Backlit keyboard
256GB SSD
Webcam or fingerprint reader compatible with Windows Hello
Thin with small bezel (I realise this is a long shot with my budget)

Budget
$1000-$1500
Prepared to go a little higher if justified

I've had a basic look around and the Lenovo Yoga series looks promising.

Can anyone help me out with other suggestions that are worth looking at? I have no particular brand likes or dislikes.