I am still primarily a pen and paper solver. I like to print off blank grids and print the givens on the grids. I also like to use the 'Extended Print' option in Bernhard Hobiger's 'HoDoKu' software. You can create and print off very demanding puzzles using this software. I use grids that are about the same size as those found in the newspapers. I print four grids to a page.
My solving proceeds in four steps:
1) I solve the puzzle as far as I can without any markings. This step typically takes me up to and including 'Locked Candidates' and 'Naked/Hidden Pairs/Triples'.
2) If the puzzle is not solved, I mark all cells using the standard 'key pad' system. I do not actually print the candidates' numbers but just print a dot in the appropriate position in the cell. This step usually takes me up to and including the 'Hard' strategies [as in HoDoKu's default Hard list]. As I identify exclusions, I place an X through the appropriate dot. If the puzzle gets too cluttered with X's, I use a simple liquid paper pen to take off the X's and dots. I then continue on with the consideration of XY-Chains [although considered 'Unfair' in HoDoKu] as I am fairly good at following the possible chains of bi-value cells. I will explore a possible chain only if there is a possibility of an exclusion.
3) If the puzzle is not solved after considering all the Hard strategies and XY-Chains, I then proceed to mark the strong links. I identify the strong links by column [vertical bar |], row [horizontal bar _ ] and box [diagonal line /] to surround a dot. [The three parts to a little right angled triangle] I do not find it necessary to further mark the bi-value cells. This marking method is a composite of Andrew Stuart's method and stk's method. I do not draw lines between the two cells and, for strong links in a box, I use a diagonal line while stk uses a dot [.] With the strong links marked, I am then able to consider AICs, Continuous Nice Loops and Discontinuous Nice Loops. Even with these markings, I identify ALS-XZ and ALS-XY in a very uncertain and haphazard way. Similarly, I occasionally find the simplest of Death Blossoms.
4) If the puzzle still is not solved, I have begun the explore the world of Exocet. David P Bird's compendium on JExocet is first rate. I am just a beginner here but this pattern does seem to be within the realm of human solving. David does refer to markings that may help to identify JExocet but I have not reached that stage yet. Also on my 'to do' list are posts by David P Bird on SK Loops and Braiding.