For lightweight and traveling with , you can't beat an ultrabook with a solid state drive - The Asus Zenbooks are good and they have a site where they sell the reconditioned ones with full manufacturers warranty, so you can save a fair bit there . They are mostly ones that didn't work out of the box and needed a part replaced etc so still basically brand new.
Logical Blue One are selling Horize Clevo ultra books and they are very cheap for their specs $799, were expecting ours to arrive today but it may be a bit overkill for what you need one for. Defiantly try to get the solid state drive tho , faster and less likely to bugger up from using on the go.
Really anything they sell currently is going to be ok for word processing , internet browsing, work etc you really only need the top of the line for gaming
Good luck picking one out and have fun