First off, remember to use the handy "Edit" button up at the top of your post, rather than double-posting. It's just good manners.
Secondly, as long as you have a positive number for your Essence, even if it's 0.000001, you're fine. The story-fluff says you're supposed to get colder, more detached, and less "human" as you start getting down around and below the 1.00 mark. However, I don't imagine that you'd want to play a character styled after the Deus Ex protagonists as lovey-dovey, sensitive, or emotional so playing the character as intended would do just fine for the "altered personality" bit.
As for Bioware and Genetherapy... both are better, but prohibitively expensive. Generally people go for a mix of all three.
The big ticket item is Wired Reflexes; it'll eat up a big chunk of essence, but Synaptic Booster is too expensive to be worth it with a standard 400BP build. Combine that with Muscle Toner and Muscle Enhancement and Dermal Plating, and you've got the basics of a decent Street Samurai (the "official" name for the "Augmented Combat Badass" archetype).
Cybereyes are generally avoided in favor of cybernetic Contact Lenses + Glasses or Goggles EXCEPT if you take maximum-level Cybereyes and throw in all the goodies... which would make perfect sense for your character concept.
Also, if you want to really take a soak in the awesome-sauce, go with the Changeling (Class III SURGE) Quality for 15 BP. It gets you 30 points of Positive Metagenetic Quality and 15 points of Negative Metagenetic Qualities, while only taking up 15 BP off your 35 total BP for Positive Qualities.
Take Metagenetic Improvement (Agility) (+1 to Minimum and Natural Maximum on your Agility!) for 20BP, then take 10 other BP of Positive Metagenetic qualities and whatever Negative Metagenetic Qualities that fit your flavor.
Then, for 5 more BP, take Genetic Heritage so you get Genetic Optimization (Agility), which is +1 to Natural Maximum, at no cost in Essence or Nuyen, since you inherited it naturally from one of your parents.