Your usage is a little general. Are you gaming with heavy graphics like BF3, Max Payne, etc.? 

The GPU of HP Pavilion Dm4-3105TX and Inspiron 14z is a little weak for gaming.
In GPU terms or performance for gaming,

Inspiron 14R SE> HP Envy 4> HP Pavilion Dm4 = Inspiron 14z

If you're using for gaming, then its better to not get an ultrabook as it is not meant for that kind of usage. A laptop with a good GPU will be better.
If its only for general usage, non-heavy graphics gaming then you can opt for ultrabook for its portability.
For alternatives of gaming laptop, you can try these:

Acer
[Ultrabook] M5-481TG-53316G12, i5-3317U + Nvidia GT640M LE (28nm Kepler) + 128GB SSD@RM2899[1.85kg], 6GB, W7HP

Lenovo (Best GPU among)
Y480, i7-3610QM + Nvidia GT650(GDDR5)@RM2499[JBL], 4GB, 500GB(5400rpm), backlit keyboard, FreeDOS
Y480, i7-3610QM + Nvidia GT650(GDDR5)@RM2799[JBL], 8GB, 500GB(5400rpm), backlit keyboard, W7HP, 2 years international warranty

These have good GPU suitable for heavy gaming like the Inspiron 14R SE you have mentioned 

I wouldn't say good but a decent one 

y480 + ssd + ram upgrade

fast until you cannot believe